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7. Suppose Joanna gets a 10% raise, then a 5% raise. a. What is her raise in total as a percent? (hopefully by now you have learned the answer is not 15% bc percents are tricky) (tip: make up a salary if you need/want to)b. What would her second raise need to be to make the total raise 15%?

7 Suppose Joanna Gets A 10 Raise Then A 5 Raise A What Is Her Raise In Total As A Percent Hopefully By Now You Have Learned The Answer Is Not 15 Bc Percents Are class=

Answer :

Let

x ----> original amount

Part A

1) 10% raise

that means

100%+10%=110%=110/100=1.1

so

1.1x ---> final amount

2) 5% raise

100%+5%=105%=105/100=1.05

so

1.05(1.1x)=1.155x

therefore

1.155=115.5% ------> 115.5-100=15.5%

the answer is 15.5%

part B

we have

First, raise ------> 1.1x

second raise

1.1x(a)=1.15

a=1.15/1.1

a=23/22---------> a=1.04545

1.04545-1=0.04545

therefore

The second raise must be 4.545454...%

round to two decimal places 4.55%

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